Question

The complement of an angle is one half of the given angle. find the

measures of the given angle and its complement.​

Answer 1

Answer:

The angle and its complement are 60° and 30° respectively.

Explanation:

Given

• Complement of an angel is half the angle.

To Find

• The angle.
• Complement of the given angle.

Let the complement of the Angle = x

The angle = 2x

Complementary angles add upto 90°

⟹ x + 2x = 90°

⟹ ( 1 + 2 )x = 90°

⟹ 3x = 90°

⟹ x = 90°/3

⟹ x = 30°

The angle = 2x = 2(30°) = 60°

Complement of the Angle = x = 30°

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When sum of measure of two angles is 90°, they are complementary angles.

When sum of measure of two angles is 180°, they are supplementary angles.

Answer 2

Answer:

$\huge \tt \bold{ \underline{ \underline{Answer:}}}$

Given:-

Complement of an angel is half the angle.

$\huge{ \underline\bold{To \: Find : - }}$

The angle.

Complement of the given angle.

Let the complement of the Angle = x

The angle = 2x

Complementary angles add upto 90°

$\bold{⟹ x + 2x = 90°}$

$\bold{⟹ ( 1 + 2 )x = 90°}$

$\bold{⟹ 3x = 90 \degree}$

$\bold{⟹ x = \frac{90 \degree}{3} }$

$\bold{⟹ x = 30°}$

The angle = 2x = 2(30°) = 60°

Complement of the Angle = x = 30°

Hope it helps you